Title :

Low Field Regime for the Relativistic Vlasov-Maxwell-Fokker-Planck System; the One and One Half Dimensional Case

Author(s) :

Bostan, Mihai [Auteur]
Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB]
Scientific computation and visualization [CALVI]
Goudon, Thierry [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]

Journal title :

Kinetic and Related Models

Pages :

139-170

Publisher :

AIMS

Publication date :

2008

ISSN :

1937-5093

English keyword(s) :

Vlasov-Maxwell-Fokker-Planck system
Asymptotic behavior
Diffusion approximation

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

We study the asymptotic regime for the relativistic Vlasov-Maxwell-Fokker-Planck system which corresponds to a mean free path small compared to the Debye length, chosen as an observation length scale, combined to a large ...
Show more >We study the asymptotic regime for the relativistic Vlasov-Maxwell-Fokker-Planck system which corresponds to a mean free path small compared to the Debye length, chosen as an observation length scale, combined to a large thermal velocity assumption. We are led to a convection-diffusion equation, where the convection velocity is obtained by solving a Poisson equation. The analysis is performed in the one and one half dimensional case and the proof combines dissipation mechanisms and finite speed of propagation properties.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL